I have found this thread really interesting actually it has helped coalesce some ideas starting with that rubbish pop quiz 
I think that me (and many women on MN) do not have an "internal gender identity" and that this has been a source of confusion and misunderstanding from the get go. When a person who doesn't know what something feels like is asked to understand the feelings of someone who does, it is incredibly hard. So trans people who by definition have this feeling and have it strongly, and the non trans people who do, think that the non-feeling it people are being difficult and trying to make some kind of point. Meanwhile the people who don't feel it, are flailing around trying to understand what it is and how it works, and all hey can think of are gender stereotypes, and this (understandably) makes them pissed off.
The interesting thing is that I suspect that many women come to be feminists as a reaction against the gendered role they are put in, and that they don't feel it fits, they don't feel comfortable with it, or aspects of it. I guess this might be why many women react so strongly against the idea of being called cis - it's not just because of a reaction against the idea due to being gender critical, but actually a more visceral reaction of "that does not fit me why are you calling me that".
So in many ways it seems like there should be more similarities than arguments but sadly there aren't, it seems.
The really interesting thing from a personal perspective is that if we really need to label each and every different internal way of being, then having had a good think prompted by the crap quiz I would say that I certainly don't have an internal gender identity, so by the new naming systems I suppose I am agender. Well OK.
However I suspect that making that pronouncement would be met with a certain amount of derision as my appearance is (naturally) very feminine, I'm not a young beautiful androgynous person, I adhere to the norms of dress for a woman in our society, no-one would look at me and think "ah she's not quite female somehow" although it is fair to say that when people get to know me they often find a lot of my attitudes, opinions and interests a bit unexpected - which takes us back to why feminism in the first place!
So anyone, if anyone calls me cis now I can quite merrily tell them to get stuffed so that's something 
And that's the end of another stream of consciousness post. And probably says badly the same as the blog post that I put up a little earlier 